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Finding the Third Proportional to 37,616.83 and 55,089.33

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Solution

The third proportional to 37,616.83 and 55,089.33 is: 80,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.83 : 55,089.33 = 55,089.33 : x
  2. Step 2: Convert to fraction form
    37,616.83/55,089.33 = 55,089.33/x
  3. Step 3: Cross multiply
    37,616.83x = 55,089.33 × 55,089.33
  4. Step 4: Simplify right side
    37,616.83x = 3,034,834,718.84
  5. Step 5: Solve for x
    x = 3,034,834,718.84/37,616.83
  6. Step 6: Final answer
    x = 80,677.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.